10572455628224 has 336 divisors, whose sum is σ = 25769635430400. Its totient is φ = 4285050771456.

The previous prime is 10572455628223. The next prime is 10572455628247. The reversal of 10572455628224 is 42282655427501.

It is a super-2 number, since 2×10572455628224² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10572455628221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912435359 + ... + 912446945.

Almost surely, 2^{10572455628224} is an apocalyptic number.

10572455628224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10572455628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884817715200).

10572455628224 is an abundant number, since it is smaller than the sum of its proper divisors (15197179802176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10572455628224 is a wasteful number, since it uses less digits than its factorization.

10572455628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 53.

The spelling of 10572455628224 in words is "ten trillion, five hundred seventy-two billion, four hundred fifty-five million, six hundred twenty-eight thousand, two hundred twenty-four".